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Main Title: A new discretization framework for input/output maps and its application to flow control
Author(s): Heiland, Jan
Mehrmann, Volker
Schmidt, Michael
Type: Research Paper
Abstract: We discuss the direct discretization of the input/output map of linear time-invariant systems with distributed inputs and outputs. At first, the input and output signals are discretized in space and time, resulting in a matrix representation of an approximated input/output map. Then the system dynamics is approximated, in order to calculate the matrix representation numerically. The discretization framework, corresponding error estimates, a SVD-based system reduction method and a numerical application in optimization problems are presented, and illustrated for a heat control and a flow control system.
Subject(s): flow-control
Oseen equation
tokes equation
input/output map
differential-algebraic equation
Issue Date: 22-Dec-2009
Date Available: 17-Dec-2021
Language Code: en
DDC Class: 510 Mathematik
MSC 2000: 65M60 Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods
93C95 Applications
Series: Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
Series Number: 2009, 29
ISSN: 2197-8085
TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Mathematik
Appears in Collections:Technische Universität Berlin » Publications

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